The number 31135
31135 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 479. Divisors (8): 1, 5, 13, 65, 479, 2395, 6227, 31135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31135: a Harshad number: divisible by its digit sum 13.
- 2
31135 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 31135 itself that is 9185, so 31135 is deficient (9185 is less than 31135). Euler's totient φ(31135) = 22944 numbers up to 31135 share no factor with it.
- 4
The digits of 31135 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31135 = 5 \times 13 \times 479 \]
31135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 22944 |
| Square | 969388225 |
| Cube | 30181902385375 |
| Square root | 176.451126 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.1135 × |
31135 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and thirty-five |
| Binary (base 2) | 111100110011111 |
| Octal (base 8) | 74637 |
| Hexadecimal (base 16) | 799F |
| Base 3 | 1120201011 |
| As time | 31135 seconds = 8 h 38 min 55 s |
Is 31135 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31135 ÷ 5 = 6227) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31135 a prime number?
No. 31135 = 5 × 13 × 479, so it is divisible by 5.
What are the factors of 31135?
1, 5, 13, 65, 479, 2395, 6227, 31135.
What is 31135 in binary?
111100110011111 (hexadecimal 799F, octal 74637).
What is the square root of 31135?
About 176.4511.
Is 31135 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31135?
31135 is a Harshad number: divisible by its digit sum 13.